Statistics – Computation
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...346..932h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 346, Nov. 15, 1989, p. 932-940.
Statistics
Computation
2
Computational Astrophysics, Star Distribution, Statistical Distributions, Stellar Magnitude, Interstellar Extinction, Normal Density Functions, Stellar Composition, Stellar Parallax
Scientific paper
Corrections to mean absolute magnitudes are calculated for stellar samples which are (1) complete to a limiting magnitude m, (2) spherically symmetric and distance-limited, and (3) confined to a cylindrical disk volume. These corrections are valid when the sample's intrinsic absolute magnitude distribution is Gaussian, which is the case for stars of particular spectral and luminosity class S. Applications to astronomical problems include (1) absolute magnitude corrections for statistical and secular parallaxes, (2) absolute magnitude corrections for some peculiar-abundance stars identified from objective-prism plates, (3) corrections to star counts and the luminosity function when Galactic disk geometry is included, (4) galaxy counts for a redshift-limited sample, and (5) corrections to stellar simulation computer models. Suggestions are made to correct samples for effects of interstellar absorption.
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